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<h1>SRC/zgscon.c File Reference</h1>Estimates reciprocal of the condition number of a general matrix. <a href="#_details">More...</a>
<p>
<code>#include <math.h></code><br>
<code>#include "<a class="el" href="slu__zdefs_8h-source.html">slu_zdefs.h</a>"</code><br>
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<tr><td colspan="2"><br><h2>Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="zgscon_8c.html#6be8d109849b5406d8256de2419caf2e">zgscon</a> (char *norm, <a class="el" href="structSuperMatrix.html">SuperMatrix</a> *L, <a class="el" href="structSuperMatrix.html">SuperMatrix</a> *U, double anorm, double *rcond, <a class="el" href="structSuperLUStat__t.html">SuperLUStat_t</a> *stat, int *info)</td></tr>
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<hr><a name="_details"></a><h2>Detailed Description</h2>
<pre>
-- SuperLU routine (version 3.0) --
Univ. of California Berkeley, Xerox Palo Alto Research Center,
and Lawrence Berkeley National Lab.
October 15, 2003</pre><p>
<pre> Modified from lapack routines ZGECON.
</pre> <hr><h2>Function Documentation</h2>
<a class="anchor" name="6be8d109849b5406d8256de2419caf2e"></a><!-- doxytag: member="zgscon.c::zgscon" ref="6be8d109849b5406d8256de2419caf2e" args="(char *norm, SuperMatrix *L, SuperMatrix *U, double anorm, double *rcond, SuperLUStat_t *stat, int *info)" -->
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<td class="memname">void zgscon </td>
<td>(</td>
<td class="paramtype">char * </td>
<td class="paramname"> <em>norm</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structSuperMatrix.html">SuperMatrix</a> * </td>
<td class="paramname"> <em>L</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="structSuperMatrix.html">SuperMatrix</a> * </td>
<td class="paramname"> <em>U</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>anorm</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">double * </td>
<td class="paramname"> <em>rcond</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structSuperLUStat__t.html">SuperLUStat_t</a> * </td>
<td class="paramname"> <em>stat</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">int * </td>
<td class="paramname"> <em>info</em></td><td> </td>
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<td>)</td>
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<p>
<pre>
Purpose
=======</pre><p>
<pre> ZGSCON estimates the reciprocal of the condition number of a general
real matrix A, in either the 1-norm or the infinity-norm, using
the LU factorization computed by ZGETRF. *</pre><p>
<pre> An estimate is obtained for norm(inv(A)), and the reciprocal of the
condition number is computed as
RCOND = 1 / ( norm(A) * norm(inv(A)) ).</pre><p>
<pre> See <a class="el" href="supermatrix_8h.html" title="Defines matrix types.">supermatrix.h</a> for the definition of 'SuperMatrix' structure.</pre><p>
<pre> Arguments
=========</pre><p>
<pre> NORM (input) char*
Specifies whether the 1-norm condition number or the
infinity-norm condition number is required:
= '1' or 'O': 1-norm;
= 'I': Infinity-norm.</pre><p>
<pre> L (input) SuperMatrix*
The factor L from the factorization Pr*A*Pc=L*U as computed by
<a class="el" href="slu__zdefs_8h.html#58d722a16a6f114a94cb2f59c8b08df4">zgstrf()</a>. Use compressed row subscripts storage for supernodes,
i.e., L has types: Stype = SLU_SC, Dtype = SLU_Z, Mtype = SLU_TRLU.</pre><p>
<pre> U (input) SuperMatrix*
The factor U from the factorization Pr*A*Pc=L*U as computed by
<a class="el" href="slu__zdefs_8h.html#58d722a16a6f114a94cb2f59c8b08df4">zgstrf()</a>. Use column-wise storage scheme, i.e., U has types:
Stype = SLU_NC, Dtype = SLU_Z, Mtype = SLU_TRU.</pre><p>
<pre> ANORM (input) double
If NORM = '1' or 'O', the 1-norm of the original matrix A.
If NORM = 'I', the infinity-norm of the original matrix A.</pre><p>
<pre> RCOND (output) double*
The reciprocal of the condition number of the matrix A,
computed as RCOND = 1/(norm(A) * norm(inv(A))).</pre><p>
<pre> INFO (output) int*
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value</pre><p>
<pre> =====================================================================
</pre>
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